Goppa-like bounds for the generalized Feng--Rao distances
Discrete Applied Mathematics - Special issue: International workshop on coding and cryptography (WCC 2001)
An Extension of the Order Bound for AG Codes
AAECC-18 '09 Proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
AAECC-18 '09 Proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
On numerical semigroups and the redundancy of improved codes correcting generic errors
Designs, Codes and Cryptography
Improvements to evaluation codes and new characterizations of Arf semigroups
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
Coset bounds for algebraic geometric codes
Finite Fields and Their Applications
An improvement of the Feng--Rao bound on minimum distance
Finite Fields and Their Applications
| Hi-index | 754.84 |
We compute the order (or Feng-Rao (1994)) bound on the minimum distance of one-point algebraic-geometry codes CΩ(P, ρtQ), when the Weierstrass semigroup at the point Q is an Arf 91949) semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to these C Ω (P, ρtQ)